Analysis of xx-ph-01000670-13_07-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6....54...9.....9...56...4.3...3...7.8...83....62.6.......7.6..4.......2..1 initial
Autosolve
position: 98.7..6....54...9.....9...56...4.3...3..67.8...83....62.6..4....7.6..4.......2.61 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:47.921396
List of important HDP chains detected for H8,I8: 2..:
* DIS # I8: 2 # H1: 3,4 # C3: 1,2 => CTR => C3: 3,4,7 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 # F4: 1,5 => CTR => F4: 8,9 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 # F8: 1,5 => CTR => F8: 3,8,9 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 # F6: 9 => CTR => F6: 1,5 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 # G2: 7,8 => CTR => G2: 1,2 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 # G3: 1,2 => CTR => G3: 7,8 * PRF # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 + G3: 7,8 # I7: 7,8 => SOL * STA # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 + G3: 7,8 + I7: 7,8 * CNT 7 HDP CHAINS / 46 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6....54...9.....9...56...4.3...3...7.8...83....62.6.......7.6..4.......2..1 | initial |
| 98.7..6....54...9.....9...56...4.3...3..67.8...83....62.6..4....7.6..4.......2.61 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H8,I8: 2.. / H8 = 2 => 0 pairs (_) / I8 = 2 => 4 pairs (_) I5,H6: 4.. / I5 = 4 => 2 pairs (_) / H6 = 4 => 1 pairs (_) I1,I5: 4.. / I1 = 4 => 1 pairs (_) / I5 = 4 => 2 pairs (_) E1,F1: 5.. / E1 = 5 => 2 pairs (_) / F1 = 5 => 1 pairs (_) B2,B3: 6.. / B2 = 6 => 0 pairs (_) / B3 = 6 => 1 pairs (_) F2,F3: 6.. / F2 = 6 => 1 pairs (_) / F3 = 6 => 0 pairs (_) B2,F2: 6.. / B2 = 6 => 0 pairs (_) / F2 = 6 => 1 pairs (_) B3,F3: 6.. / B3 = 6 => 1 pairs (_) / F3 = 6 => 0 pairs (_) C4,A6: 7.. / C4 = 7 => 1 pairs (_) / A6 = 7 => 1 pairs (_) E7,E9: 7.. / E7 = 7 => 2 pairs (_) / E9 = 7 => 1 pairs (_) E9,G9: 7.. / E9 = 7 => 1 pairs (_) / G9 = 7 => 2 pairs (_) C3,C4: 7.. / C3 = 7 => 1 pairs (_) / C4 = 7 => 1 pairs (_) D4,F4: 8.. / D4 = 8 => 2 pairs (_) / F4 = 8 => 0 pairs (_) A8,A9: 8.. / A8 = 8 => 0 pairs (_) / A9 = 8 => 1 pairs (_) * DURATION: 0:00:09.154230 START: 13:03:29.305486 END: 13:03:38.459716 2021-01-06 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H8,I8: 2.. / H8 = 2 ==> 0 pairs (_) / I8 = 2 ==> 4 pairs (_) E9,G9: 7.. / E9 = 7 ==> 1 pairs (_) / G9 = 7 ==> 2 pairs (_) E7,E9: 7.. / E7 = 7 ==> 2 pairs (_) / E9 = 7 ==> 1 pairs (_) E1,F1: 5.. / E1 = 5 ==> 2 pairs (_) / F1 = 5 ==> 1 pairs (_) I1,I5: 4.. / I1 = 4 ==> 1 pairs (_) / I5 = 4 ==> 2 pairs (_) I5,H6: 4.. / I5 = 4 ==> 2 pairs (_) / H6 = 4 ==> 1 pairs (_) D4,F4: 8.. / D4 = 8 ==> 2 pairs (_) / F4 = 8 ==> 0 pairs (_) C3,C4: 7.. / C3 = 7 ==> 1 pairs (_) / C4 = 7 ==> 1 pairs (_) C4,A6: 7.. / C4 = 7 ==> 1 pairs (_) / A6 = 7 ==> 1 pairs (_) A8,A9: 8.. / A8 = 8 ==> 0 pairs (_) / A9 = 8 ==> 1 pairs (_) B3,F3: 6.. / B3 = 6 ==> 1 pairs (_) / F3 = 6 ==> 0 pairs (_) B2,F2: 6.. / B2 = 6 ==> 0 pairs (_) / F2 = 6 ==> 1 pairs (_) F2,F3: 6.. / F2 = 6 ==> 1 pairs (_) / F3 = 6 ==> 0 pairs (_) B2,B3: 6.. / B2 = 6 ==> 0 pairs (_) / B3 = 6 ==> 1 pairs (_) * DURATION: 0:01:29.090383 START: 13:03:38.460330 END: 13:05:07.550713 2021-01-06 * DCP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H8,I8: 2.. / H8 = 2 => 0 pairs (X) / I8 = 2 ==> 0 pairs (*) * DURATION: 0:00:47.919879 START: 13:05:07.745575 END: 13:05:55.665454 2021-01-06 * REASONING H8,I8: 2.. * DIS # I8: 2 # H1: 3,4 # C3: 1,2 => CTR => C3: 3,4,7 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 # F4: 1,5 => CTR => F4: 8,9 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 # F8: 1,5 => CTR => F8: 3,8,9 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 # F6: 9 => CTR => F6: 1,5 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 # G2: 7,8 => CTR => G2: 1,2 * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 # G3: 1,2 => CTR => G3: 7,8 * PRF # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 + G3: 7,8 # I7: 7,8 => SOL * STA # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 + G3: 7,8 + I7: 7,8 * CNT 7 HDP CHAINS / 46 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1000670;13_07;GP;25;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H8,I8: 2..:
* INC # I8: 2 # H1: 3,4 => UNS * INC # I8: 2 # H3: 3,4 => UNS * INC # I8: 2 # C1: 3,4 => UNS * INC # I8: 2 # C1: 1,2 => UNS * INC # I8: 2 # G6: 7,9 => UNS * INC # I8: 2 # G6: 1,2,5 => UNS * INC # I8: 2 # C4: 7,9 => UNS * INC # I8: 2 # C4: 1,2 => UNS * INC # I8: 2 # I7: 7,9 => UNS * INC # I8: 2 # I7: 3,8 => UNS * INC # I8: 2 # C5: 4,9 => UNS * INC # I8: 2 # C5: 1,2 => UNS * INC # I8: 2 # H7: 3,5 => UNS * INC # I8: 2 # H7: 7 => UNS * INC # I8: 2 # A8: 3,5 => UNS * INC # I8: 2 # E8: 3,5 => UNS * INC # I8: 2 # F8: 3,5 => UNS * INC # I8: 2 => UNS * INC # H8: 2 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for E9,G9: 7..:
* INC # G9: 7 # H4: 2,5 => UNS * INC # G9: 7 # H6: 2,5 => UNS * INC # G9: 7 => UNS * INC # E9: 7 # B7: 1,9 => UNS * INC # E9: 7 # B7: 5 => UNS * INC # E9: 7 # F8: 1,9 => UNS * INC # E9: 7 # F8: 3,5,8 => UNS * INC # E9: 7 # C4: 1,9 => UNS * INC # E9: 7 # C5: 1,9 => UNS * INC # E9: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E7,E9: 7..:
* INC # E7: 7 # H4: 2,5 => UNS * INC # E7: 7 # H6: 2,5 => UNS * INC # E7: 7 => UNS * INC # E9: 7 # B7: 1,9 => UNS * INC # E9: 7 # B7: 5 => UNS * INC # E9: 7 # F8: 1,9 => UNS * INC # E9: 7 # F8: 3,5,8 => UNS * INC # E9: 7 # C4: 1,9 => UNS * INC # E9: 7 # C5: 1,9 => UNS * INC # E9: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E1,F1: 5..:
* INC # E1: 5 # E2: 1,3 => UNS * INC # E1: 5 # F2: 1,3 => UNS * INC # E1: 5 # F3: 1,3 => UNS * INC # E1: 5 # C1: 1,3 => UNS * INC # E1: 5 # H1: 1,3 => UNS * INC # E1: 5 # F8: 1,3 => UNS * INC # E1: 5 # F8: 5,8,9 => UNS * INC # E1: 5 # D4: 1,2 => UNS * INC # E1: 5 # D5: 1,2 => UNS * INC # E1: 5 # B6: 1,2 => UNS * INC # E1: 5 # G6: 1,2 => UNS * INC # E1: 5 # H6: 1,2 => UNS * INC # E1: 5 # E2: 1,2 => UNS * INC # E1: 5 # E2: 3,8 => UNS * INC # E1: 5 => UNS * INC # F1: 5 # D4: 1,9 => UNS * INC # F1: 5 # F4: 1,9 => UNS * INC # F1: 5 # D5: 1,9 => UNS * INC # F1: 5 # B6: 1,9 => UNS * INC # F1: 5 # G6: 1,9 => UNS * INC # F1: 5 # F8: 1,9 => UNS * INC # F1: 5 # F8: 3,8 => UNS * INC # F1: 5 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for I1,I5: 4..:
* INC # I5: 4 # H1: 2,3 => UNS * INC # I5: 4 # I2: 2,3 => UNS * INC # I5: 4 # H3: 2,3 => UNS * INC # I5: 4 # C1: 2,3 => UNS * INC # I5: 4 # E1: 2,3 => UNS * INC # I5: 4 # I8: 2,3 => UNS * INC # I5: 4 # I8: 8,9 => UNS * INC # I5: 4 # B4: 1,5 => UNS * INC # I5: 4 # A6: 1,5 => UNS * INC # I5: 4 # B6: 1,5 => UNS * INC # I5: 4 # D5: 1,5 => UNS * INC # I5: 4 # G5: 1,5 => UNS * INC # I5: 4 # A8: 1,5 => UNS * INC # I5: 4 # A8: 3,8 => UNS * INC # I5: 4 => UNS * INC # I1: 4 # I4: 2,9 => UNS * INC # I1: 4 # G5: 2,9 => UNS * INC # I1: 4 # G6: 2,9 => UNS * INC # I1: 4 # C5: 2,9 => UNS * INC # I1: 4 # D5: 2,9 => UNS * INC # I1: 4 # I8: 2,9 => UNS * INC # I1: 4 # I8: 3,8 => UNS * INC # I1: 4 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for I5,H6: 4..:
* INC # I5: 4 # H1: 2,3 => UNS * INC # I5: 4 # I2: 2,3 => UNS * INC # I5: 4 # H3: 2,3 => UNS * INC # I5: 4 # C1: 2,3 => UNS * INC # I5: 4 # E1: 2,3 => UNS * INC # I5: 4 # I8: 2,3 => UNS * INC # I5: 4 # I8: 8,9 => UNS * INC # I5: 4 # B4: 1,5 => UNS * INC # I5: 4 # A6: 1,5 => UNS * INC # I5: 4 # B6: 1,5 => UNS * INC # I5: 4 # D5: 1,5 => UNS * INC # I5: 4 # G5: 1,5 => UNS * INC # I5: 4 # A8: 1,5 => UNS * INC # I5: 4 # A8: 3,8 => UNS * INC # I5: 4 => UNS * INC # H6: 4 # I4: 2,9 => UNS * INC # H6: 4 # G5: 2,9 => UNS * INC # H6: 4 # G6: 2,9 => UNS * INC # H6: 4 # C5: 2,9 => UNS * INC # H6: 4 # D5: 2,9 => UNS * INC # H6: 4 # I8: 2,9 => UNS * INC # H6: 4 # I8: 3,8 => UNS * INC # H6: 4 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for D4,F4: 8..:
* INC # D4: 8 # E1: 1,2 => UNS * INC # D4: 8 # E2: 1,2 => UNS * INC # D4: 8 # B3: 1,2 => UNS * INC # D4: 8 # C3: 1,2 => UNS * INC # D4: 8 # G3: 1,2 => UNS * INC # D4: 8 # H3: 1,2 => UNS * INC # D4: 8 # D5: 1,2 => UNS * INC # D4: 8 # D5: 5,9 => UNS * INC # D4: 8 # D7: 5,9 => UNS * INC # D4: 8 # F8: 5,9 => UNS * INC # D4: 8 # B9: 5,9 => UNS * INC # D4: 8 # G9: 5,9 => UNS * INC # D4: 8 # D5: 5,9 => UNS * INC # D4: 8 # D5: 1,2 => UNS * INC # D4: 8 => UNS * INC # F4: 8 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for C3,C4: 7..:
* INC # C3: 7 # C1: 1,3 => UNS * INC # C3: 7 # A3: 1,3 => UNS * INC # C3: 7 # E2: 1,3 => UNS * INC # C3: 7 # F2: 1,3 => UNS * INC # C3: 7 # A8: 1,3 => UNS * INC # C3: 7 # A8: 5,8 => UNS * INC # C3: 7 => UNS * INC # C4: 7 # G5: 2,9 => UNS * INC # C4: 7 # I5: 2,9 => UNS * INC # C4: 7 # G6: 2,9 => UNS * INC # C4: 7 # B4: 2,9 => UNS * INC # C4: 7 # D4: 2,9 => UNS * INC # C4: 7 # I8: 2,9 => UNS * INC # C4: 7 # I8: 3,8 => UNS * INC # C4: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for C4,A6: 7..:
* INC # C4: 7 # G5: 2,9 => UNS * INC # C4: 7 # I5: 2,9 => UNS * INC # C4: 7 # G6: 2,9 => UNS * INC # C4: 7 # B4: 2,9 => UNS * INC # C4: 7 # D4: 2,9 => UNS * INC # C4: 7 # I8: 2,9 => UNS * INC # C4: 7 # I8: 3,8 => UNS * INC # C4: 7 => UNS * INC # A6: 7 # C1: 1,3 => UNS * INC # A6: 7 # A3: 1,3 => UNS * INC # A6: 7 # E2: 1,3 => UNS * INC # A6: 7 # F2: 1,3 => UNS * INC # A6: 7 # A8: 1,3 => UNS * INC # A6: 7 # A8: 5,8 => UNS * INC # A6: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for A8,A9: 8..:
* INC # A9: 8 # D7: 5,9 => UNS * INC # A9: 8 # F8: 5,9 => UNS * INC # A9: 8 # B9: 5,9 => UNS * INC # A9: 8 # G9: 5,9 => UNS * INC # A9: 8 # D4: 5,9 => UNS * INC # A9: 8 # D5: 5,9 => UNS * INC # A9: 8 => UNS * INC # A8: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for B3,F3: 6..:
* INC # B3: 6 # C1: 1,2 => UNS * INC # B3: 6 # C3: 1,2 => UNS * INC # B3: 6 # E2: 1,2 => UNS * INC # B3: 6 # G2: 1,2 => UNS * INC # B3: 6 # B4: 1,2 => UNS * INC # B3: 6 # B6: 1,2 => UNS * INC # B3: 6 => UNS * INC # F3: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for B2,F2: 6..:
* INC # F2: 6 # C1: 1,2 => UNS * INC # F2: 6 # C3: 1,2 => UNS * INC # F2: 6 # E2: 1,2 => UNS * INC # F2: 6 # G2: 1,2 => UNS * INC # F2: 6 # B4: 1,2 => UNS * INC # F2: 6 # B6: 1,2 => UNS * INC # F2: 6 => UNS * INC # B2: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F2,F3: 6..:
* INC # F2: 6 # C1: 1,2 => UNS * INC # F2: 6 # C3: 1,2 => UNS * INC # F2: 6 # E2: 1,2 => UNS * INC # F2: 6 # G2: 1,2 => UNS * INC # F2: 6 # B4: 1,2 => UNS * INC # F2: 6 # B6: 1,2 => UNS * INC # F2: 6 => UNS * INC # F3: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for B2,B3: 6..:
* INC # B3: 6 # C1: 1,2 => UNS * INC # B3: 6 # C3: 1,2 => UNS * INC # B3: 6 # E2: 1,2 => UNS * INC # B3: 6 # G2: 1,2 => UNS * INC # B3: 6 # B4: 1,2 => UNS * INC # B3: 6 # B6: 1,2 => UNS * INC # B3: 6 => UNS * INC # B2: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for H8,I8: 2..:
* INC # I8: 2 # H1: 3,4 => UNS * INC # I8: 2 # H3: 3,4 => UNS * INC # I8: 2 # C1: 3,4 => UNS * INC # I8: 2 # C1: 1,2 => UNS * INC # I8: 2 # G6: 7,9 => UNS * INC # I8: 2 # G6: 1,2,5 => UNS * INC # I8: 2 # C4: 7,9 => UNS * INC # I8: 2 # C4: 1,2 => UNS * INC # I8: 2 # I7: 7,9 => UNS * INC # I8: 2 # I7: 3,8 => UNS * INC # I8: 2 # C5: 4,9 => UNS * INC # I8: 2 # C5: 1,2 => UNS * INC # I8: 2 # H7: 3,5 => UNS * INC # I8: 2 # H7: 7 => UNS * INC # I8: 2 # A8: 3,5 => UNS * INC # I8: 2 # E8: 3,5 => UNS * INC # I8: 2 # F8: 3,5 => UNS * INC # I8: 2 # H1: 3,4 # B2: 1,2 => UNS * INC # I8: 2 # H1: 3,4 # B3: 1,2 => UNS * DIS # I8: 2 # H1: 3,4 # C3: 1,2 => CTR => C3: 3,4,7 * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # E1: 1,2 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # E1: 5 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # C4: 1,2 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # C5: 1,2 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # B2: 1,2 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # B3: 1,2 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # E1: 1,2 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # E1: 5 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # C4: 1,2 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # C5: 1,2 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # E1: 1,5 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 # E1: 2 => UNS * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 # F4: 1,5 => CTR => F4: 8,9 * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 # F6: 1,5 => UNS * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 # F8: 1,5 => CTR => F8: 3,8,9 * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 # F6: 1,5 => UNS * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 # F6: 9 => CTR => F6: 1,5 * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 # E1: 1,5 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 # E1: 2 => UNS * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 # G2: 7,8 => CTR => G2: 1,2 * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 # G3: 7,8 => UNS * INC # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 # G3: 7,8 => UNS * DIS # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 # G3: 1,2 => CTR => G3: 7,8 * PRF # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 + G3: 7,8 # I7: 7,8 => SOL * STA # I8: 2 # H1: 3,4 + C3: 3,4,7 + F4: 8,9 + F8: 3,8,9 + F6: 1,5 + G2: 1,2 + G3: 7,8 + I7: 7,8 * CNT 44 HDP CHAINS / 46 HYP OPENED